Geodesic
On contact sub-pseudo-Riemannian isometries
Grochowski, Marek1 ; Kryński, Wojciech2
1 Faculty of Mathematics and Natural Sciences, Cardinal Wyszyński University, 01-938 Warszawa, Poland.
2 Institute of Mathematics, Polish Academy of Sciences, ul. Śniadeckich 8, 00-656 Warszawa, Poland.
ESAIM: Control, Optimisation and Calculus of Variations, Tome 23 (2017) no. 4, pp. 1751-1765

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We study isometries in contact sub-pseudo-Riemannian geometry. In particular we give an upper bound on the dimension of the isometry group of a general sub-pseudo-Riemannian manifold and prove that the maximal dimension is attained for the left invariant structures on the Heisenberg group.

Reçu le :
Accepté le :
DOI : 10.1051/cocv/2016072
Classification : 53C17, 34H05
Keywords: Contact structure, sub-Riemannian geometry, sub-Lorentzian geometry, Heisenberg group, isometry group, control-affine systems

Grochowski, Marek 1 ; Kryński, Wojciech 2

1 Faculty of Mathematics and Natural Sciences, Cardinal Wyszyński University, 01-938 Warszawa, Poland.
2 Institute of Mathematics, Polish Academy of Sciences, ul. Śniadeckich 8, 00-656 Warszawa, Poland. 
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     title = {On contact {sub-pseudo-Riemannian} isometries},
     journal = {ESAIM: Control, Optimisation and Calculus of Variations},
     pages = {1751--1765},
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Grochowski, Marek; Kryński, Wojciech. On contact sub-pseudo-Riemannian isometries. ESAIM: Control, Optimisation and Calculus of Variations, Tome 23 (2017) no. 4, pp. 1751-1765. doi: 10.1051/cocv/2016072

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